Let K denote the set of all irrational numbers. Prove that if x is in K, then -x is in K also. The definition in this case would be defined as a real number that can be expressed as the quotient of two integers a and b where b is not equal to 0.

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Q: All integers are rational

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Q: 6. Prove that x is a rational number if and only if 2x - 1 is a rational number.

A: To Prove: x is a rational number if and only if 2x-1 is a rational number.